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Practice Questions: Angles | Math Olympiad for Class 5 PDF Download

Q1: What type of angle is created between the hands of a clock at 3 o’clock?
Ans: Right Angle
Practice Questions: Angles | Math Olympiad for Class 5

At 3 o’clock, the hour and minute hands form a 90° angle, which is a Right Angle.

Q2: What is the angle measure of each angle in a regular triangle?
Ans: 60°

In a regular triangle, the sum of angles is 180°. Since it has three equal angles, each angle is 180° ÷ 3 = 60°.

Q3: How many degrees is a complete angle?
Ans: 360°

A complete angle forms a full circle, which measures 360°.

Q4: What type of angle is an angle measuring 45°?
Ans: Acute Angle
Practice Questions: Angles | Math Olympiad for Class 5

An angle less than 90° is an Acute Angle, so an angle of 45° is an Acute Angle.

Q5: How many degrees are in the angle formed between the hour and minute hands at 12 o’clock?
Ans:

At 12 o’clock, the hour and minute hands are on top of each other, forming an angle of 0°.

Q6: If an angle measures 135°, what type of angle is it?
Ans: Obtuse Angle

An angle greater than 90° but less than 180° is an Obtuse Angle, so 135° is an Obtuse Angle.

Q7: How many degrees are there between the numbers 4 and 7 on a clock?
Ans: 90°

Each number on the clock represents 30°. Between 4 and 7, there are three intervals (4 to 5, 5 to 6, and 6 to 7), so 3 × 30° = 90°.

Q8: What type of angle does a slice of pizza usually have?
Ans: Acute Angle

A typical slice of pizza is narrow, forming an angle less than 90°, making it an Acute Angle.

Q9: If you have a regular hexagon, what is the measure of each angle?
Ans: 120°

A regular hexagon has six equal angles, and the sum of angles is 720°. So, each angle is 720° ÷ 6 = 120°.

Q10: What is the angle formed by the minute and hour hands of a clock at 6 o’clock?
Ans: 180°

At 6 o’clock, the hour and minute hands are opposite each other, forming a Straight Angle of 180°.

Q11: In a regular pentagon, what is the measure of each angle?
Ans: 108°

A regular pentagon has five equal angles, with a total sum of 540°. So, each angle is 540° ÷ 5 = 108°.

Q12: If two lines meet and form a 90° angle, what is this angle called?
Ans: Right Angle
Practice Questions: Angles | Math Olympiad for Class 5

An angle of exactly 90° is called a Right Angle.

Q13: How many angles can be formed by arranging four matchsticks in a square shape?
Ans: 4 angles

A square has four corners, and each corner forms an angle, so four angles are formed.

Q14: What type of angle is formed by the hands of a clock at 1 o’clock?
Ans: Acute Angle

At 1 o’clock, the hour and minute hands form a 30° angle, which is an Acute Angle.

Q15: How many degrees are there in the sum of angles in a quadrilateral?
Ans: 360°

In any quadrilateral, the sum of all interior angles is 360°.

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FAQs on Practice Questions: Angles - Math Olympiad for Class 5

1. What are the different types of angles?
Ans. There are several types of angles: acute angles (less than 90 degrees), right angles (exactly 90 degrees), obtuse angles (greater than 90 degrees but less than 180 degrees), straight angles (exactly 180 degrees), and reflex angles (greater than 180 degrees but less than 360 degrees).
2. How do you measure angles?
Ans. Angles can be measured using a protractor. You align the protractor's baseline with one side of the angle, and then read the degree measurement where the other side intersects the protractor's scale.
3. What is the importance of angles in geometry?
Ans. Angles are fundamental in geometry as they help in understanding shapes, lines, and their relationships. They are used to calculate areas, determine the properties of polygons, and solve many practical problems in architecture and engineering.
4. Can angles be classified based on their size?
Ans. Yes, angles can be classified based on their size into various categories: acute (less than 90°), right (90°), obtuse (greater than 90° but less than 180°), straight (180°), and reflex (greater than 180°).
5. What is a complementary angle?
Ans. Complementary angles are two angles that add up to 90 degrees. For example, if one angle measures 30 degrees, its complementary angle would measure 60 degrees, since 30° + 60° = 90°.
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